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Finding the Fourth Proportional to 1,871.27, 2,808.63 and 947.47

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Solution

The fourth proportional to 1,871.27, 2,808.63 and 947.47 is: 1,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.27 : 2,808.63 = 947.47 : x
  2. Step 2: Convert to fraction form
    1,871.27/2,808.63 = 947.47/x
  3. Step 3: Cross multiply
    1,871.27x = 2,808.63 × 947.47
  4. Step 4: Simplify right side
    1,871.27x = 2,661,101.47
  5. Step 5: Solve for x
    x = 2,661,101.47/1,871.27
  6. Step 6: Final answer
    x = 1,422.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.